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Q.

If vectors A and B are given by A=5i^+6j^+3k^  and  B=6i^2j^6k^. Which  of the following  is /are correct?

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a

Product A × B is the same as  B × A

b

A and B are mutually perpendicular

c

The magnitude of A and B are equal

d

The magnitude of AB is zero

answer is A, D.

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Detailed Solution

Here, A.B=(5i^+6j^+3k^).(6i^2j^6k^)=0

So, is perpendicular to and is not equal to × B, as cross product of two vectors in anticommutative. The magnitude of A is 70  and  B  is  76

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